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What is the definition of a polyhendron?

A polyhedron is a three-dimensional geometric shape that is composed of:

* Faces: Flat polygons.

* Edges: Line segments where two faces meet.

* Vertices: Points where three or more edges meet.

Key characteristics of polyhedrons:

* Closed shape: All the faces are connected and form a closed volume.

* Flat faces: The faces are polygons, which are flat figures with straight sides.

* Solid shape: It occupies a definite space.

Examples of polyhedrons:

* Cube: 6 square faces, 12 edges, 8 vertices

* Tetrahedron: 4 triangular faces, 6 edges, 4 vertices

* Pyramid: A base polygon and triangular faces that meet at a point (apex)

* Prism: Two identical base polygons connected by rectangular faces

* Dodecahedron: 12 pentagonal faces, 30 edges, 20 vertices

* Icosahedron: 20 triangular faces, 30 edges, 12 vertices

Note:

* A regular polyhedron has all its faces congruent regular polygons and all its angles equal.

* A convex polyhedron has all its interior angles less than 180 degrees.

* A non-convex polyhedron can have interior angles greater than 180 degrees, also known as a "star polyhedron."

Let me know if you'd like to know more about specific types of polyhedrons!

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